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Finding the Fourth Proportional to 428,033.70, 642,312.99 and 191,576.34

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Solution

The fourth proportional to 428,033.70, 642,312.99 and 191,576.34 is: 287,481.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,033.70 : 642,312.99 = 191,576.34 : x
  2. Step 2: Convert to fraction form
    428,033.70/642,312.99 = 191,576.34/x
  3. Step 3: Cross multiply
    428,033.70x = 642,312.99 × 191,576.34
  4. Step 4: Simplify right side
    428,033.70x = 123,051,971,758.66
  5. Step 5: Solve for x
    x = 123,051,971,758.66/428,033.70
  6. Step 6: Final answer
    x = 287,481.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.